list the interval(s) on which f is increasing. the interval(s) on which f is increasing is/are (type your…

list the interval(s) on which f is increasing. the interval(s) on which f is increasing is/are (type your answer in interval notation. use a comma to separate answers as needed.)

list the interval(s) on which f is increasing. the interval(s) on which f is increasing is/are (type your answer in interval notation. use a comma to separate answers as needed.)

Answer

Explanation:

Step1: Understand the concept of an increasing function

A function ( y = f(x) ) is increasing on an interval if, for any two points ( x_1) and ( x_2) in the interval with ( x_1<x_2), we have ( f(x_1)<f(x_2)). Visually, the graph of the function rises from left - to - right on an increasing interval.

Step2: Analyze the given graph

  • Look at the graph and identify the intervals where the graph is rising.
  • From the graph, we can see that the function is increasing on the intervals ([- 6,-2]) and ([2,4]) and ([6,10]).

Answer:

([-6,-2],[2,4],[6,10])